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A body of mass 6 kg moving with velocity 15 m/s collides with a second body of mass 10 kg, which is at rest. After collision first body's velocity is 5 m/s. The velocity of second body after collision will be

A body of mass 6 kg moving with velocity 15 m/s collides with a second body of mass 10 kg, which is at rest. After collision first body's velocity is 5 m/s. The velocity of second body after collision will be Correct Answer 6 m/s

CONCEPT:

  • Momentum(P): The quantity of motion that an object has called momentum. It is equal to the product of mass and velocity of the object.
    • A sports team that is on the move has momentum.
    • If an object is in motion (on the move) then it has momentum.
  • Conservation of linear momentum: It states that if two objects collide, then the total momentum before and after the collision will be the same if there is no external force acting on the colliding objects.

Formula:

Initial momentum = Final momentum

Pi = Pf

Where,

P = linear momentum = mass x linear velocity = mv

CALCULATION:

​Given that,

Before collision v1 = 15 m/s, m1 = 6 kg, m2 = 10 kg, v2 = 0

After collision u1 = 5 m/s, m1 = 6 kg, m2 = 10 kg

Putting all above values in the equation of conservation of momentum:

Pi = Pf

m1v1 + m2v2 = m1u1 + m2u2

(6 x 15) + (10 x 0) = (6 x 5) + (10 x u2)

90 + 0 = 30 + 10u2

60 = 10u2

u2 = 6 m/s

The correct option is 6 m/s

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